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Finding the Fourth Proportional to 471,493.54, 650,786.22 and 290,357.33

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Solution

The fourth proportional to 471,493.54, 650,786.22 and 290,357.33 is: 400,770.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,493.54 : 650,786.22 = 290,357.33 : x
  2. Step 2: Convert to fraction form
    471,493.54/650,786.22 = 290,357.33/x
  3. Step 3: Cross multiply
    471,493.54x = 650,786.22 × 290,357.33
  4. Step 4: Simplify right side
    471,493.54x = 188,960,549,239.99
  5. Step 5: Solve for x
    x = 188,960,549,239.99/471,493.54
  6. Step 6: Final answer
    x = 400,770.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.